New posts in Prime Numbers

Primes represented by $x^3-21xy^2+35y^3$.

A $2021$ problem: $20\sim 21$ and $43\times 47$

$4q=a^2+27b^2$ elementary proof of uniqueness

Prove $1^r+2^r+.....\equiv 0\pmod p$ , given that p is odd prime and $0<r<p-1$

Prove that the prime $p$ can only be $13$

How can we prove that there are no other integers with $\phi(n)=2$ besides 3,4,6?

Proving that a Gaussian integer $a+bi$ with $a,b\neq0$ is composite in $\mathbb{Z}[i]$ if its norm $a^2+b^2$ is composite in $\mathbb{N}$?

Is there any guarantee of maximum distance to next prime?

Is every natural number the truncation of a prime?

$n$ is prime iff $\binom{n^2}{n} \equiv n \pmod{n^4}$?